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3979368 = 23352389
BaseRepresentation
bin1111001011100001101000
321111011200000
433023201220
52004314433
6221143000
745552441
oct17134150
97434600
103979368
112278838
1213baa60
13a94373
147582c8
15539113
hex3cb868

3979368 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1254528.

The previous prime is 3979363. The next prime is 3979427. The reversal of 3979368 is 8639793.

It is a happy number.

3979368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3979361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44668 + ... + 44756.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 23979368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3979368 is an abundant number, since it is smaller than the sum of its proper divisors (7814232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3979368 is a wasteful number, since it uses less digits than its factorization.

3979368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3979368 is about 1994.8353315500. The cubic root of 3979368 is about 158.4667074406.

The spelling of 3979368 in words is "three million, nine hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 89 92 108 138 162 178 184 207 216 243 267 276 324 356 414 486 534 552 621 648 712 801 828 972 1068 1242 1602 1656 1863 1944 2047 2136 2403 2484 3204 3726 4094 4806 4968 5589 6141 6408 7209 7452 8188 9612 11178 12282 14418 14904 16376 18423 19224 21627 22356 24564 28836 36846 43254 44712 49128 55269 57672 73692 86508 110538 147384 165807 173016 221076 331614 442152 497421 663228 994842 1326456 1989684 3979368